I make custom burp cloths. Choose from a variety of fabrics, then specify a 1 or 3 letter monogram, or a name, from my
font choices in a coordinating thread color to finish.
An example, with blue and white striped flannel fabric and in "curly q" font:

Here are my current available fabric samples to choose from (though I'm always getting new ones). If you have something different in mind, let me know and I will find it. I have alot of combed flannel because I find it to be super absorbant and soft, though there are alot of "fun" cottton choices out there. :)
Hot pink cotton, bubblegum pink/white stripe flannel, light pink flannel:

Blue/white gingham flannel, blue/white stripe flannel, light blue flannel, red/white/blue plaid cotton: